• Journal of the Korean Statistical Society
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• 제24권2호
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• pp.551-562
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• 1995

We consider the iterated bootstrap method in regression model with heterogeneous error variances. The iterated wild bootstrap confidence intervla of the mean response is considered. It is shown that the iterated wild bootstrap confidence interval has coverage error of order $n^{-1}$ wheresa percentile method interval has an error of order $n^{-1/2}$. The simulation results reveal that the iterated bootstrap method calibrates the coverage error of percentile method interval successfully even for the small sample size.

• 응용통계연구
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• 제29권1호
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• pp.61-73
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• 2016

본 논문에서는 다변량 시계열 모형 진단을 위해 잔차의 자기상관성 유무를 확인하기 위한 와일드 붓스트랩(wild bootstrap) Ljung-Box(LB) 검정통계량을 연구하였다. 일반적으로 LB 검정은 오차가 서로 독립이며 동일한 분포를 따른다는 IID 가정 하에 유도되는 점근적 카이제곱 분포를 이용한다. 한편 금융시계열 자료는 분산에 조건부 이분산성이 존재하기 때문에 오차의 IID 가정을 만족시키지 못하며 이에 따라 점근적 분포를 이용한 LB 검정은 제1종의 오류를 만족시키지 못하게 된다. 이를 극복하기 위해 와일드 붓스트랩을 이용한 LB 검정법을 제안하고 그 성질을 연구하고자 한다. 벡터자기회귀 모형과 벡터오차수정 모형 등의 다양한 다변량 시계열 모형을 이용하여 모의실험을 실시하는 한편, 코스피 200지수와 지수선물 자료를 이용한 실증분석을 통해 와일드 붓스트랩을 이용한 LB 검정법이 조건부 이분산성의 부정적인 영향을 효과적으로 제거할 수 있음을 입증하였다.

• Journal of the Korean Data and Information Science Society
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• 제17권2호
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• pp.467-474
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• 2006

In this paper we present a weighted support vector machine(SVM) and a weighted least squares support vector machine(LS-SVM) for the prediction in the heteroscedastic regression model. By adding weights to standard SVM and LS-SVM the better fitting ability can be achieved when errors are heteroscedastic. In the numerical studies, we illustrate the prediction performance of the proposed procedure by comparing with the procedure which combines standard SVM and LS-SVM and wild bootstrap for the prediction.

• Journal of the Korean Statistical Society
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• 제30권4호
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• pp.645-660
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• 2001

In this paper we propose a goodness-of-fit test statistic for testing the (null) parametric model versus the (alternative) nonparametric model. Most of existing nonparametric test statistics are based on the residuals which are obtained by regressing the data to a parametric model. Our test is based on the bootstrap estimator of the probability that the smoothing parameter estimator is infinite when fitting residuals to cubic smoothing spline. Power performance of this test is investigated and is compared with many other tests. Illustrative examples based on real data sets are given.

• Communications for Statistical Applications and Methods
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• 제8권1호
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• pp.1-14
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• 2001

This paper discusses choosing the weight function of the Hardle and Mammen statistic in nonparametric goodness-of-fit test for regression curve. For this purpose, we modify the Hardle and Mammen statistic and derive its asymptotic distribution. Some results on the test statistic from the wild bootstrapped sample are also obtained. Through Monte Carlo experiment, we check the validity of these results. Finally, we study the powers of the test and compare with those of the Hardle and Mammen test through the simulation.

• Communications for Statistical Applications and Methods
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• 제25권4호
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• pp.397-409
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• 2018

The world financial markets are inter-linked in ways that varies according to market and time. We examine the causality of change focusing on the Korean market as related to the U.S. (S&P 500), Japan (Nikkei 225), Hong-Kong (HSI), and European (DAX) markets. In order to capture time-varying causality running from and to the Korea stock market, we apply the Granger causality test under a VAR model with a wild bootstrap rolling-window approach. We also propose a new concept of a significant causality ratio to measure the intensity of the Granger causality in each time unit. There are many asymmetric strengths in mutual Granger causal relationships. Moreover, there are cases with significant Granger causal relations only in one direction. The period with the most severe Granger causality both running from and to the KOSPI market is the GFC. The market that formed the two-way Granger causal relationship with the KOSPI market for the longest period is the S&P 500. The HSI and DAX markets have the strongest two-way Granger causal relationship with the KOSPI shortly after 2000, and the Nikkei market had the strongest two-way Granger causal relationship with the KOSPI market before the Asian financial crisis.

• Journal of Species Research
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• 제8권3호
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• pp.313-317
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• 2019

Bats influence overall ecosystem health by regulating species diversity and being a major source of zoonotic viruses. Hence, there is a need to elucidate their migration, population structure, and phylogenetic relationship. The complete mitochondrial genome is widely used for studying the genome-level characteristics and phylogenetic relationship of various animals due to its high mutation rate, simple structure, and maternal inheritance. In this study, we determined the complete mitogenome sequence of the bird-like noctule (Nyctalus aviator) by Illumina next-generation sequencing. The sequences obtained were used to reconstruct a phylogenic tree of Vespertilionidae to elucidate the phylogenetic relationship among its members. The mitogenome of N. aviator is 16,863-bp long with a typical vertebrate gene arrangement, consisting of 13 protein-coding genes (PCGs), 22 transfer RNA genes, 2 ribosomal RNA genes, and 1 putative control region. Overall, the nucleotide composition is as follows: 32.3% A, 24.2% C, 14.3% G, and 29.2% T, with a slight AT bias (61.5%). The base composition of the 13 PCGs is as follows: 30.3% A, 13.4% G, 31.0% T, and 25.2% C. The phylogenetic analysis, based on 13 concatenated PCG sequences, infers that N. aviator is closely related to N. noctula with a high bootstrap value (100%).

• 응용통계연구
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• 제35권1호
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• pp.63-75
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• 2022

본 논문은 Wang과 Samworth (2018)가 제안한 성근 프로젝션 방법을 개선하여 MOSUM을 이용하여 고차원의 시계열데이터에 존재하는 다중 평균 변화점을 추정하는 방법에 대해서 제안한다. 제안한 방법은 국소방법으로 다중 변화점을 동시에 찾을 수 있어 순차적 오류를 최소화 할 뿐만 아니라 평균이 상쇄되는 경우에도 변화점을 추정하는 장점을 지니고 있다. 또한 데이터 의존적인 방법으로 블록 와일드 붓스트랩 방법을 활용하여 임계점을 찾는 방법을 제안한다. 모의 실험을 통해 제안한 방법이 좋은 성능을 보임을 확인하였으며 S&P 500 지수를 구성하는 개별 기업들의 금융 자료에 적용하여 최근 6년간 네 번의 변화점을 찾았다.